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Total Resistance in the Loop where V1 is connected = 2 ohm
Total Resistance in the loop where v2 is connected = 1 ohm
Now, V1 > v2
Total current in the circuit will be divided equally in the second loop where I2 is labelled so I2 is half the current in the circuit. But I1 must be greater than the current in 6 ohm resistor. 2 (I2) = I1 + Current in 6 ohm resistor. Current in 6 ohm resistor must be less than I2.
Hence I1 > I2